II Analyze and answer following questions (Total 40 points, 4 questions, 10 points per question) 1. You would like to build a synchronizer that can receive asynchronous inputs. Your system is running at 1GHz, and you use sampling flip-flops with =100ps,T0=110ps, and tsetup=70ps. The synchronizer receives a new asynchronous input on average 0.5 times per second (i.e., once every 2 seconds). What is the MTBF in hours? 2. Write the Boolean function according to the following Verilog source code. Implement it by minimum number of gates. Please sketch the schematic of your circuit. module problem_A_2_2(input a, b, c, output y,z); assign y=a&b&ca&b&ca&b&c; assign z=a&ba&b; endmodule